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Which of the following vectors is orthogonal to the vector left(...

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Mathematical Physics
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Which of the following vectors is orthogonal to the vector \[\left( {a\hat i + b\hat j} \right),\]   where a and b (a ≠ b) are constants, and \[{\hat i}\] and \[{\hat j}\] are unit orthogonal vectors?

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Correct Answer: Option D
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Maggie Krush
Maggie Krush 3 years ago
If vectors a and b are orthogonal, then a.b=0
(ai + bj).(-bi+aj) = -ab i.i + a^2 i.j - b^2 j.i + ab j.j = -ab + 0 + 0 + ab = 0.
Hence, Option A is the answer.
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